IIT

Some IITs and NITs have offered self-sponsored seat M.Tech Computer Science and Engineering (CSE). IIT Delhi, IIT Bombay and NIT Trichy are some of the prominent institutions that reserve seats for the candidates who are sponsored by their employers. NIT Calicut and NIT Silchar also have self-sponsored admissions. The seats are usually filled through GATE exam but some may not require candidates to take the exam, but they must have work experience in related fields.

For pursuing an M.Sc. in another says top NITs such as Trichy & Rourkela outshine in Chemistry as a newer institute of IIT. Especially, NIT Trichy is one of the reputed institutes for its chemistry program, experienced faculty, and decent placement opportunities. You have AIR 790 in EWS category, the chances of get admission in this established NITs are higher, go ahead.

With a SC category rank of 3568 in JEE Advanced, you have a decent chance of being able to get into several IITs, though some branches will depend on the cut-off of the year. The branches which you should expect may include Civil Engineering, Chemical Engineering, or Metallurgical Engineering at premier IITs like IIT Delhi, IIT Bombay, IIT Kanpur, or IIT Madras. The new IITs, such as IIT Bhilai, IIT Goa, and IIT Jammu, may still offer good options for core branches like Electrical, Mechanical, or Civil Engineering. The final options will be presented through JoSAA counselling.

There are good chances for getting IIT college but it can be little difficult because of the huge competition among students. 

To get into newer IITs, your rank must be higher than 4,500 in JEE Advanced and your rank is higher than that, so you are eligible for IIT.